Analytical Modeling of a Descending Aorta Containing Human Blood Flow

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Kiani; citation_author=Nancy Pleshko; citation_author=William R. Wagner; citation_author=Simon C. Watkins; citation_author=David Vorp; citation_author=Kurosh Darvish; citation_volume=47; citation_publication_date=2015/7; citation_pages=12-20; citation_doi=10.1016/j.jmbbm.2015.03.004" /> <meta name="citation_reference" content="citation_title=A compliant tubular device to study the influences of wall strain and fluid shear stress on cells of the vascular wall; citation_author=Aziz Benbrahim; citation_author=Gilbert J. L'Italien; citation_author=Barbara B. Milinazzo; citation_author=David F. Warnock; citation_author=Sandip Dhara; citation_author=Jonathan P. Gertler; citation_author=Roslyn W. Orkin; citation_author=William M. Abbott; citation_volume=20; citation_issue=2; citation_publication_date=1994/8; citation_pages=184-194; citation_doi=10.1016/0741-5214(94)90005-1" /> <meta name="person" content="Mehdari Abdessamad, Mohamed Hasnaoui, Mohamed Agouzoul" /> <meta name="description" content="In the recent years, blood flow through an aorta has been the main focus of many investigators. It shows particular interest in analyzing human aortic stiffness and blood flow behavior. Mainly, an unsteady state is applied for incompressible fluid, which is assumed to be newtonian. Artery is considered an elastic tube and the wall boundaries are isotropic. The analytical modeling of blood involves adopting an asymptotic approach according to a small aspect radio, which is inversely proportional to Reynolds number. The wall has been assumed a thin shell, which generates a small axisymmetric vibration. The mathematical model of the wall is developed using the thin shell theory based on geodesic curvature parameter. In the end, the analytical results simulation is applied to have better understanding of the effects of blood flow behavior over the elasticity aortic wall properties." /> <meta name="keywords" content="Analytical, Blood, Descending Aorta, Human, Modeling" /> <meta name="copyright" content="2018 Trans Tech Publications Ltd. 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class="paper-volume-number">p.130</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> </div> </div> <div class="right-content col-md-8 col-sm-7 col-xs-12 paper-title-main-page"> <div class="bread-crumbs hidden-xs"> <a class="bread-crumbs-first" href="/">Home</a><i class="inline-icon arrow-breadcrumbs"></i><a class="bread-crumbs-first" href="/DDF">Defect and Diffusion Forum</a><i class="inline-icon arrow-breadcrumbs"></i><a class="bread-crumbs-first" href="/DDF.384">Defect and Diffusion Forum Vol. 384</a><i class="inline-icon arrow-breadcrumbs"></i><span class="bread-crumbs-second">Analytical Modeling of a Descending Aorta...</span></div> <div class="page-name-block underline-begin"> <h1 class="page-name-block-text">Analytical Modeling of a Descending Aorta Containing Human Blood Flow</h1> </div> <div class="paper-statistics"> <div class="loading"> <i class="inline-icon download-and-visitor-statistics-icon"></i> <span class="normal-text" id="paperDownloadsAndVisitorsCount"></span> </div> </div> <div class="clearfix"></div> <div class="page-paper-title"> <div class="preview-block"> <img alt="Article Preview" width="128" height="180" src="/DDF.384.117/thumbnail.gif"> <div id="preview-button" data-url-preview-log="/Paper/PreviewImageLog?paperId=534161"> <i class="inline-icon preview-icon"></i> </div>  <div id="paper-preview-modal" class="modal fade"> <div class="modal-dialog" role="document"> <div class="popup-page-name underline-begin"> <div class="page-name-block-text">Article Preview</div> </div> <img alt="Article Preview" class="preview-image lazyload" data-src="/DDF.384.117/preview.gif"> <a data-dismiss="modal" title="Close" class="inline-icon close-icon"></a> </div> </div>  </div> <div class="abstract-block-description"> <h3 class="page-paper-first-header">Abstract:</h3> <p class="normal-text"> In the recent years, blood flow through an aorta has been the main focus of many investigators. It shows particular interest in analyzing human aortic stiffness and blood flow behavior. Mainly, an unsteady state is applied for incompressible fluid, which is assumed to be newtonian. Artery is considered an elastic tube and the wall boundaries are isotropic. The analytical modeling of blood involves adopting an asymptotic approach according to a small aspect radio,<i> which is inversely proportional</i> to Reynolds number. The wall has been assumed a thin shell, which generates a small axisymmetric vibration. The mathematical model of the wall is developed using the thin shell theory based on geodesic curvature parameter. In the end, the analytical results simulation is applied to have better understanding of the effects of blood flow behavior over the elasticity aortic wall properties. </p> </div> <div class="paper-access-buttons col-xs-12"> <div class="row"> <div class="sa-button-wrap"> <a id="sa-button" class="wayfinder-login d-flex sa-button" href="javascript:;"> <div class="sa-button-logo-wrap"> <i class="inline-icon sa-white"></i> </div> <div class="d-flex justify-content-center align-items-center sa-button-text text-truncate"> <div class="sa-button-text-primary text-truncate">Access through your institution</div> </div> </a> </div> <div class="title-button-pdf"> <button id="readPaperButton" data-url-read-paper-log="/Paper/ReadThePaperLog?paperId=534161" class="button button-160"> <span class="inline-element">Read The Paper</span> </button> </div> </div> <div class="row"> </div> </div> <div class="clearfix"></div> <div class="connected-title-container"> <div class="connected-title-text 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data-url="/Paper/_Message?paperId=534161&personId=1479622&urlSent=https%3A%2F%2Fwww.scientific.net%2FDDF.384.117" title="Send message to Corresponding Author"> </a> <a href="/author-papers/mehdari-abdessamad">Mehdari Abdessamad</a>*, <a href="/author-papers/mohamed-hasnaoui">Mohamed Hasnaoui</a>, <a href="/author-papers/mohamed-agouzoul">Mohamed Agouzoul</a> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Keywords:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <a href="/paper-keyword/analytical">Analytical</a>, <a href="/paper-keyword/blood">Blood</a>, <a href="/paper-keyword/descending-aorta">Descending Aorta</a>, <a href="/paper-keyword/human">Human</a>, <a href="/paper-keyword/modeling">Modeling</a> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div 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